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Finding the Third Proportional to 8,174 and 12,952

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Solution

The third proportional to 8,174 and 12,952 is: 20,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174 : 12,952 = 12,952 : x
  2. Step 2: Convert to fraction form
    8,174/12,952 = 12,952/x
  3. Step 3: Cross multiply
    8,174x = 12,952 × 12,952
  4. Step 4: Simplify right side
    8,174x = 167,754,304
  5. Step 5: Solve for x
    x = 167,754,304/8,174
  6. Step 6: Final answer
    x = 20,522.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.